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Simplifying 4x2 + -120x = -1009 Reorder the terms: -120x + 4x2 = -1009 Solving -120x + 4x2 = -1009 Solving for variable 'x'. Reorder the terms: 1009 + -120x + 4x2 = -1009 + 1009 Combine like terms: -1009 + 1009 = 0 1009 + -120x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 252.25 + -30x + x2 = 0 Move the constant term to the right: Add '-252.25' to each side of the equation. 252.25 + -30x + -252.25 + x2 = 0 + -252.25 Reorder the terms: 252.25 + -252.25 + -30x + x2 = 0 + -252.25 Combine like terms: 252.25 + -252.25 = 0.00 0.00 + -30x + x2 = 0 + -252.25 -30x + x2 = 0 + -252.25 Combine like terms: 0 + -252.25 = -252.25 -30x + x2 = -252.25 The x term is -30x. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30x + 225 + x2 = -252.25 + 225 Reorder the terms: 225 + -30x + x2 = -252.25 + 225 Combine like terms: -252.25 + 225 = -27.25 225 + -30x + x2 = -27.25 Factor a perfect square on the left side: (x + -15)(x + -15) = -27.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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